展开 (x+y'(x))(x+y)

解答

展开

(x + y^{'} (x)) (x + y)

x^{2} + x y + x y' (x) + y' (x) y

求解步骤

(x + y^{'} (x)) (x + y)

使用 FOIL 方法:

(a + b) (c + d) = a c + a d + b c + b d

a = x, b = y^{'} (x), c = x, d = y

= xx + x y + y^{^{'}} (x) x + y^{^{'}} (x) y

= xx + x y + x y^{^{'}} (x) + y^{^{'}} (x) y

xx = x^{2}

= x^{2} + x y + x y^{^{'}} (x) + y^{^{'}} (x) y

e x p an d (x + y i)^{5}

s im pl i f y \frac{( x ^{2} + 1 + x ^{2} - 1 ) ^{2}}{2}

e x p an d (x^{2} - \frac{5}{4}) e^{x}

e x p an d \frac{5 x}{( 1 - x ) ^{2}}

e x p an d A (- 4, - 5)